Home
Class 12
MATHS
If A = {1,2,3} and f,g are relations cor...

If A = {1,2,3} and f,g are relations corresponding to the subset of `A xxA` indicated against them,which of f,g, is a function? Why? F(1,3),(2,3),(3,2) , g = (1,2),(1,3),(3,1)

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTION

    MODERN PUBLICATION|Exercise EXAMPLE|212 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise EXERCISE|543 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXAMPLE|13 Videos

Similar Questions

Explore conceptually related problems

Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2) and g = (1,3),(2,1),(3,2),(5,5) find gof

Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2) and g = (1,3),(2,1),(3,2),(5,5) find fog

Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2)) and g = ((1,3),(2,1),(3,2),(5,5)) find fof

Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2)) and g = ((1,3),(2,1),(3,2),(5,5)) find gog

Let A={1,2,3,4,5}, B={1,2,3,4} and f:A rarr B is a function, then

Let f = ((1,3), (2,1),(3,2)) and g = ((1,2), (2,3),(3,1)) , then find (gof) (1) and (fog) (2).

Let S = {1, 2, 3} Determine whether the functions f : S rarr S defined as below have inverses. Find f ^–1 , , if it exists: f = {(1,2), (2,1), (3,1)}

Which of the following relations are functions form A = (1,3,5,7,9) to B = (1,2,3,4,5). f= ((3,1), (5,1), (7,1), (9,1))

Let S = {1, 2, 3} Determine whether the functions f : S rarr S defined as below have inverses. Find f ^–1 , , if it exists: f = {(1,3), (3,2), (2,1)}

Let A = R - (3), B = R = (1). Let f: A rarr B be defined by: f(x) = (x-2)/(x-3) AA x in A .Then show that 'f' is bijective. If the mappings f and g are given by : f=(1,2),(3,5),(4,1) and g = (2,3),(5,1),(1,3) write fog.

MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
  1. Show that if A= { 1,2,3} and R ={(1,1),(2,2),(3,3) (1,2),(2,1),(2,3),...

    Text Solution

    |

  2. Let R be the quivalence relation in the set Z of integerx given by: R ...

    Text Solution

    |

  3. If A = {1,2,3} and f,g are relations corresponding to the subset of A ...

    Text Solution

    |

  4. On the set N of all natural numbers, a relation R is defined as follow...

    Text Solution

    |

  5. Show that the function f : R rarr R defined by : f(x) = x/(x^2+1) AA ...

    Text Solution

    |

  6. Let A = (0,1,2,3) and define a relation R on A as follows R = (0,0),(0...

    Text Solution

    |

  7. Let A = (1,2,3,……….,9) and R be the relation in AxxA defined by (a,b) ...

    Text Solution

    |

  8. If f = (5,2),(6,3), g = (2,5),(3,6), write fog.

    Text Solution

    |

  9. Let f : R rarr R be defined by f(x) = x^2 +1 Find the pre-image of 17

    Text Solution

    |

  10. Let f : R rarr R be defined by f(x) = x^2 +1 Find the pre-image of -3

    Text Solution

    |

  11. let the function : f R rarr R to be defined by f(x) = cos x for all x ...

    Text Solution

    |

  12. Let A = R - (3), B = R = (1). Let f: A rarr B be defined by: f(x) = (x...

    Text Solution

    |

  13. Let '*' be the binary operation on Q. Find which of the following bina...

    Text Solution

    |

  14. Let '*' be the binary operation on Q. Find which of the following bina...

    Text Solution

    |

  15. Let '*' be the binary operation on Q. Find which of the following bina...

    Text Solution

    |

  16. Let '*' be the binary operation on Q. Find which of the following bina...

    Text Solution

    |

  17. Let '*' be the binary operation defined on R by a*b = 1 + ab AA a,binR...

    Text Solution

    |

  18. Let '*' be the binary operation defined on R by a*b = 1 + ab AA a,binR...

    Text Solution

    |

  19. Let '*' be the binary operation defined on R by a*b = 1 + ab AA a,binR...

    Text Solution

    |

  20. Let '*' be the binary operation defined on R by a*b = 1 + ab AA a,binR...

    Text Solution

    |